Solution to a well known non-linear system of ordinary differential equations,
adapted from
E. N. Lorenz, 1963, "Deterministic Nonperiodic Flow,"
Journal of the Atmospheric Sciences, 20(2): 130-141.
"Is mathematical analysis...only a vain play of the
mind? It can give to the physicist only a convenient language; is this
not a mediocre service, which, strictly speaking, could be done without;
and even is it not to be feared that this artificial language may be a
veil interposed between reality and the eye of the physicist? Far from
it; without this language most of the intimate analogies of things would
have remained forever unknown to us; and we should forever have been ignorant
of the internal harmony of the world, which is...the only true objective
reality."---
Henri
Poincaré
(1854-1912), The Value of Science, The Science Press: New York, 1907, p. 13. |
AME 60611Mathematical Methods IFall 2015J. M. Powers |
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